In how many ways can the word MANGOES be arranged, in which A and N are at the…
2025
In how many ways can the word MANGOES be arranged, in which A and N are at the extreme positions?
- A.
200
- B.
240
- C.
400
- D.
480
Attempted by 21 students.
Show answer & explanation
Correct answer: B
Solution: Count the arrangements with A and N at the extreme positions.
Step 1: Choose the order of A and N at the two extreme positions. There are 2 possible orders (A left, N right or N left, A right).
Step 2: Arrange the remaining five distinct letters (M, G, O, E, S) in the middle. That gives 5! = 120 arrangements.
Step 3: Multiply the counts: 2 × 120 = 240.
Therefore, the number of arrangements with A and N at the extreme positions is 240.